Pith Number

pith:EOTBPRP5

pith:2022:EOTBPRP5WEZNH7KSBRBBSZ7C7Q

not attested not anchored not stored refs pending

Differential graded Koszul duality: an introductory survey

Leonid Positselski

arxiv:2207.07063 v5 · 2022-07-14 · math.CT · math.HO · math.RA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EOTBPRP5WEZNH7KSBRBBSZ7C7Q}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Cited by

1 paper in Pith

Coderived and contraderived categories for a cotorsion pair, flat-type cotorsion pairs, and relative periodicity

Receipt and verification

First computed	2026-07-05T06:37:10.633582Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

23a617c5fdb132d3fd520c421967e2fc02809d652026f71ff4e88d88bea7135a

Aliases

arxiv: 2207.07063 · arxiv_version: 2207.07063v5 · doi: 10.48550/arxiv.2207.07063 · pith_short_12: EOTBPRP5WEZN · pith_short_16: EOTBPRP5WEZNH7KS · pith_short_8: EOTBPRP5

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/EOTBPRP5WEZNH7KSBRBBSZ7C7Q \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 23a617c5fdb132d3fd520c421967e2fc02809d652026f71ff4e88d88bea7135a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "50c3fd62a60f041b0675c368702c17dca149eeddf1698a6fbecdae0c4bee7542",
    "cross_cats_sorted": [
      "math.HO",
      "math.RA"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2022-07-14T17:01:42Z",
    "title_canon_sha256": "8daeee48ac97ad1eaef9edb5cd879f042c58bcb4c2558adab91a72d59273e754"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2207.07063",
    "kind": "arxiv",
    "version": 5
  }
}